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Finding the Fourth Proportional to 70,276.55, 105,416.53 and 27,580.16

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Solution

The fourth proportional to 70,276.55, 105,416.53 and 27,580.16 is: 41,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,276.55 : 105,416.53 = 27,580.16 : x
  2. Step 2: Convert to fraction form
    70,276.55/105,416.53 = 27,580.16/x
  3. Step 3: Cross multiply
    70,276.55x = 105,416.53 × 27,580.16
  4. Step 4: Simplify right side
    70,276.55x = 2,907,404,764.04
  5. Step 5: Solve for x
    x = 2,907,404,764.04/70,276.55
  6. Step 6: Final answer
    x = 41,370.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.